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Finding the Third Proportional to 744,719.50 and 1,591,102

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Solution

The third proportional to 744,719.50 and 1,591,102 is: 3,399,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,719.50 : 1,591,102 = 1,591,102 : x
  2. Step 2: Convert to fraction form
    744,719.50/1,591,102 = 1,591,102/x
  3. Step 3: Cross multiply
    744,719.50x = 1,591,102 × 1,591,102
  4. Step 4: Simplify right side
    744,719.50x = 2,531,605,574,404
  5. Step 5: Solve for x
    x = 2,531,605,574,404/744,719.50
  6. Step 6: Final answer
    x = 3,399,408.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.